Lesson 14: From Ratio Tables, Equations, and Double Number Line

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Lesson 14: From Ratio Tables,
Equations, and Double Number
Line Diagrams to Plots on the
Coordinate Plane
Exercise 1 Create a table to show the time it will take Kelli and her team to
travel from Yonkers to each town listed in the schedule assuming that the
ratio of the amount of time traveled to the distance traveled is the same for
each city. Then extend the table to include the cumulative time it will take to
reach each destination on the ride home.
Hours
Miles
2
100
4
200
6
300
8
400
10
500
12
600
14
700
16
800
Exercise 2 Create a double number line diagram to show the time it will take Kelli and
her team to travel from Yonkers to each town listed on the schedule. Then, extend the
double number line diagram to include the cumulative time it will take to reach each
destination on the ride home. Represent the ratio of the distance traveled on the
round trip to the amount of time taken with an equation.
•
0 2 4
•
0
6
8 10
100 200 300 400 500
12 14
600
16
700 800
•
Using the information from the double number line diagram, how many miles would be
traveled in one hour? 50 miles
•
How do you know? If the train is moving at a constant speed, half of 2 is 1 and half of
100 is 50.
Example 1 Dinner service starts once the train is 250 miles away from
Yonkers. What is the minimum time the team will have to wait before they
can have their meal?
Hours
Miles
Ordered
Pairs
2
100
(2, 100)
4
200
(4, 200)
6
300
(6, 300)
8
400
(8, 400)
10
500
(10, 500)
12
600
(12, 600)
14
700
(14, 700)
16
800
(16, 800)
Problem Set Complete the table of values to find the following:
• Find the number of cups of sugar needed if
each pie Karrie makes, she has to use 3 cups
of sugar.
Pies
Cups of sugar
1
3
2
6
3
9
4
12
5
15
6
18
Use a graph to represent the relationship of sugar for Karrie’s Pies
– Title: Sugar for Karrie’s Pies
– Sugar
– (cups)
–
18
–
–
15
–
12
9
–
6
–
–
–
3
0
1
2
3 4
Pies
5
6
Create a double number line
• Pie
• 0 1
2
3
4
7
8
•
•
6
9
12 15 18 21
24
0 3
5
6